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Which of the following statements is logically consistent with the definition of

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Question: Which of the following statements is logically consistent with the definition of a factor?

Options:

  1. A factor of a number is always greater than the number.
  2. A factor of a number divides the number without leaving a remainder.
  3. A factor can only be a prime number.
  4. A factor is always a multiple of the number.

Correct Answer: A factor of a number divides the number without leaving a remainder.

Solution: 

By definition, a factor divides the number evenly, leaving no remainder.

Which of the following statements is logically consistent with the definition of

Practice Questions

Q1
Which of the following statements is logically consistent with the definition of a factor?
  1. A factor of a number is always greater than the number.
  2. A factor of a number divides the number without leaving a remainder.
  3. A factor can only be a prime number.
  4. A factor is always a multiple of the number.

Questions & Step-by-Step Solutions

Which of the following statements is logically consistent with the definition of a factor?
  • Step 1: Understand what a factor is. A factor is a number that can be multiplied by another number to get a product.
  • Step 2: Know that when a number is divided by its factor, it should divide evenly.
  • Step 3: Remember that dividing evenly means there is no remainder left after the division.
  • Step 4: Look for statements that say a number divides another number without leaving a remainder.
  • Step 5: Choose the statement that matches this definition of a factor.
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